Eric made a drawing of his rectangular bedroom with the scale 3in = 4.5 feet. the drawing was 5 inches long by 4 inches wide. what was the actual area of eric's room?

180 square feet

Step-by-step explanation:

We know that the rectangular drawing has:

5 inches long (L)4 inches wide (W)

And we also know that:

1 inch = 3 feet

We will find how many feet long and wide is the actual room, by multiplying:

Long: 5 inches * 3 feet/inch = 15 feet

Wide: 4 inches * 3 feet/ inch = 12 feet

Now we want to know the area of the rectangle, and the area of the rectangle is:

A = L*W

A = 15 feet * 12 feet

A = 180 square feet

But the actual answer will be 45feet that’s just part A.

the aswere is the one with all 8's and the second one is with the 10,8 and 6

step-by-step explanation:

answer: ratio of volume of cone (with 3 times the height and equal diameter) to volume of cylinder is 2 to 1. the value of π is not used.

step-by-step explanation:

radius is diameter/2 = 4.

area of circle is π r^2.

volume of cylinder is height × area of base = hπr^2 = 3(4^2) π = 48π cubic inches.

not knowing the formula for volume of cone, i calculate it using calculus (which is for calculating things).

volume of cone is integral 0 to h area(y) dy. area(y) is π r(y)^2. r(y) runs r to zero as y runs zero to h, r(0) = r, r(h) = 0.

r(y) = r - r/h y

area(y) = π (r - r/h y)^2 = π (r^2 - 2r^2y/h + r^2y^2/h^2) = π r^2(1-2y/h+y^2/h^2)

antiderivative area(y) = π r^2 (y-y^2/h+y^3/(3h^2))

integral 0 to h = π r^2(h-h^2/h+h^3/(3h^2) - (0)) = π r^2(h - h + h/3) = π r^2(h/3) = π/3 r^2 h

volume of this cone is π/3(4^2)18 cubic inches.

= 6 16 π = 96π cubic inches.

cone has twice the volume, 96/48.

cone height is 6 times the cylinder.

ratio of volume formula: π r^2 cancels.

cone over cylinder ratio is 6h/3 to h, 2 to 1.